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Finding the Third Proportional to 367,915,416 and 801,149,232

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Solution

The third proportional to 367,915,416 and 801,149,232 is: 1,744,531,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,915,416 : 801,149,232 = 801,149,232 : x
  2. Step 2: Convert to fraction form
    367,915,416/801,149,232 = 801,149,232/x
  3. Step 3: Cross multiply
    367,915,416x = 801,149,232 × 801,149,232
  4. Step 4: Simplify right side
    367,915,416x = 641,840,091,934,189,824
  5. Step 5: Solve for x
    x = 641,840,091,934,189,824/367,915,416
  6. Step 6: Final answer
    x = 1,744,531,661.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.